463360 has 40 divisors (see below), whose sum is σ = 1117116. Its totient is φ = 184320.

The previous prime is 463343. The next prime is 463363. The reversal of 463360 is 63364.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 73984 = 624^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (463363) by changing a digit.

463360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2470 + ... + 2650.

2⁴⁶³³⁶⁰ is an apocalyptic number.

463360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558).

463360 is an abundant number, since it is smaller than the sum of its proper divisors (653756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463360 is an equidigital number, since it uses as much as digits as its factorization.

463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 463360 is about 680.7055163578. The cubic root of 463360 is about 77.3819221669.

The spelling of 463360 in words is "four hundred sixty-three thousand, three hundred sixty".